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52813980 = 223252312757
BaseRepresentation
bin1100100101111…
…0000010011100
310200101020011100
43021132002130
5102010021410
65123553100
71210624422
oct311360234
9120336140
1052813980
11278a2a1a
121582b790
13ac3219b
14702b112
1549838c0
hex325e09c

52813980 has 72 divisors (see below), whose sum is σ = 167180832. Its totient is φ = 13470336.

The previous prime is 52813973. The next prime is 52813991. The reversal of 52813980 is 8931825.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2239 + ... + 10518.

It is an arithmetic number, because the mean of its divisors is an integer number (2321956).

Almost surely, 252813980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52813980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83590416).

52813980 is an abundant number, since it is smaller than the sum of its proper divisors (114366852).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52813980 is a wasteful number, since it uses less digits than its factorization.

52813980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12795 (or 12790 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 52813980 is about 7267.3227532565. The cubic root of 52813980 is about 375.1885984657.

It can be divided in two parts, 5281 and 3980, that added together give a cube (9261 = 213).

The spelling of 52813980 in words is "fifty-two million, eight hundred thirteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 12757 25514 38271 51028 63785 76542 114813 127570 153084 191355 229626 255140 293411 382710 459252 574065 586822 765420 880233 1148130 1173644 1467055 1760466 2296260 2640699 2934110 3520932 4401165 5281398 5868220 8802330 10562796 13203495 17604660 26406990 52813980